The Convergence for Asymptotically Nonexpansive Mappings in Banach Spaces
MA Li-rong · Journal of Sichuan Normal University · 2008
In this paper,we first introduce some iterative processes for asymptotically nonexpansive mappings in Banach spaces and then discuss the strong convergence for the iterative processes.By using Banach compression image principle and applying iterative scheme with errors and inequality technique,the necessary and sufficient conditions for the strong convergence of the iterative sequence of asymptotically nonexpansive mappings in Banach spaces are obtained.The results presented in this paper extend and improve some recent results in literature.